Answer:
a) DE ≅ GF
Step-by-step explanation:
In the picture attached, the diagram is shown.
An isosceles trapezoid is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. In this case, the left and right side lengths are DE and GF, respectively; then they are congruent.
Answer:
(a) see attached
(b) CD = 29
Step-by-step explanation:
<h3>(a) </h3>
See the attachment for a diagram.
In the diagram, we have shown point E on the plane so that BE is parallel to AC.
__
<h3>(b)</h3>
Triangle BDE is a right triangle with hypotenuse BD = 25 and leg BE = AC = 15. The length DE is given by the Pythagorean theorem as ...
DE = √(BD^2 -BE^2) = √(625 -225) = 20
Triangle CDE is a right triangle with hypotenuse CD and legs CE = 21 and DE = 20. The length of the hypotenuse is also given by the Pythagorean theorem as ...
CD = √(CE^2 +DE^2) = √(21^2 +20^2) = √841
CD = 29
There would have to be 40 pieces of cake because 8 x 5=
40 divided by 5 would be 8 pieces for all the students :)